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Chapter 7: Trigonometric Equations and Identities

This Chapter is part of Precalculus: An Investigation of Functions Lippman & Rasmussen 2011. This material is licensed under a Creative Commons CC-BY-SA license. Chapter 7: Trigonometric Equations and Identities In the last two chapters we have used basic definitions and relationships to simplify Trigonometric expressions and Equations . In this Chapter we will look at more complex relationships that allow us to consider combining and composing Equations . By conducting a deeper study of the Trigonometric Identities we can learn to simplify expressions allowing us to solve more interesting applications by reducing them into terms we have studied. Section Solving Trigonometric Equations with Identities .. 409 Section Addition and Subtraction Identities .. 417 Section Double Angle Identities .. 431 Section Modeling Changing Amplitude and Midline .. 442 Section Solving Trigonometric Equations with Identities In the last Chapter , we solved basic Trigonometric Equations .

Section 7.1 Solving Trigonometric Equations and Identities 411 Example 2 Solve 02 t t 3sec ( ) 5sec( ) 2 for all solutions t 0 2 Since the left side of this …

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